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gizmo_the_mogwai [7]
3 years ago
6

Evaluate 0.3y + y/z when y = 10 and z = 5

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

I think the answer is 5

Step-by-step explanation:

3+2=5

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Make r the subject of the formula
zloy xaker [14]

Answer:

r=\frac{-a+p}{a+p}

Step-by-step explanation:

-pr+p=ar+a

-ar-pr+p=a

-ar-pr=a-p

r(-a-p)=a-p

r=\frac{-a+p}{a+p}

3 0
2 years ago
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The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3
Alekssandra [29.7K]

Answer:

9\pi \text{ cubic meters per hour}

Step-by-step explanation:

Since, the surface area of a cylinder,

A= 2\pi r^2 + 2\pi rh  ................(1)

Where,

r = radius,

h = height,

If A= 36\pi\text{ square meters}, h = 3\text{ meters}

36\pi = 2\pi r^2 + 2\pi r(3)

18 = r^2 + 3r

\implies r^2 + 3r - 18=0

r^2 + 6r - 3r - 18 = 0     ( by middle term splitting )

r(r+6)-3(r+6)=0

(r-3)(r+6)=0

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})

∵ h = constant, ⇒ dh/dt = 0,

\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}

We have, \frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}

9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}

9\pi = (12\pi + 6\pi )\frac{dr}{dt}

9\pi = 18\pi \frac{dr}{dt}

\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}

Now,

Volume of a cylinder,

V=\pi r^2 h

Differentiating w. r. t. t,

\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}

6 0
3 years ago
What is 35-14+27 i really need help pls anser fast
zhuklara [117]

Answer:

<em>B is the correct answer</em>, The first choice (which you chose) is the incorrect answer.

Step-by-step explanation:

6 0
2 years ago
Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).
Natali [406]

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

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Hence the asymptote of the function y=1

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Cheryl writes 7 fewer posts than Kevin on a social media site.
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Um I have no idea what this is but good luck
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